This text is meant to accompany class discussions. It is not everything there is to know about uniform circular motion. It is meant as a prep for class. More detailed notes and examples are given in the class notes, presentations, and demonstrations (click here.)
A car is parked 1 m from the house. A graph of this car's motion is boring. After 1 second the car's position would not change. After 2 seconds the car's position is still the same. Each second the car's parked, it's position would not change. A graph of 5 seconds of its motion would look like the one below.
Suppose the car moved with a constant velocity of 1 m/s. Every second the car will be 1 m farther away. After 1 second the car will be at 2 m; after 2 seconds the car will be 3 m away; after 3 seconds, 4 m away; after 4 seconds, 5 m away, and after 5 seconds the car will be 6 m away. The graph would look like the one below.
The video below describes how to find displacement from a position versus time graph. (That's an x vs t graph.)